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If a sequence is defined as a_n = 3n + 2, what is the value of a_5?

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Question: If a sequence is defined as a_n = 3n + 2, what is the value of a_5?

Options:

  1. 15
  2. 17
  3. 20
  4. 22

Correct Answer: 17

Solution: 

Substituting n = 5 into the equation gives a_5 = 3(5) + 2 = 15 + 2 = 17.

If a sequence is defined as a_n = 3n + 2, what is the value of a_5?

Practice Questions

Q1
If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
  1. 15
  2. 17
  3. 20
  4. 22

Questions & Step-by-Step Solutions

If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
  • Step 1: Identify the formula for the sequence, which is a_n = 3n + 2.
  • Step 2: Determine the value of n we want to use, which is 5 in this case.
  • Step 3: Substitute n = 5 into the formula: a_5 = 3(5) + 2.
  • Step 4: Calculate 3 times 5, which equals 15.
  • Step 5: Add 2 to the result from Step 4: 15 + 2 equals 17.
  • Step 6: Conclude that the value of a_5 is 17.
  • Sequence Evaluation – Understanding how to evaluate a sequence defined by a formula by substituting a specific value for n.
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